Symbolic Functional Calculus and N-Body Resolvent Estimates

Andrew Hassell*, András Vasy

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    20 Citations (Scopus)


    We construct a functional calculus for symbolic functions of "scattering pseudodifferential operators" on manifolds with boundary. This is applied to obtain mapping results on the scattering wavefront set of the B operator used by Gérard et al. (1994, "Commutator Algebra and Resolvent Estimates," Advanced Studies in Pure Mathematics, Vol. 23, Math. Soc. Japan, Tokyo) to obtain N-body resolvent estimates. As an application, we construct the plane waves for an N-body, short range Schrödinger operator and obtain a scattering wavefront set estimate.

    Original languageEnglish
    Pages (from-to)257-283
    Number of pages27
    JournalJournal of Functional Analysis
    Issue number2
    Publication statusPublished - 1 Jun 2000


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